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Finding the Fourth Proportional to 532.29, 734.57 and 296.25

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Solution

The fourth proportional to 532.29, 734.57 and 296.25 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.29 : 734.57 = 296.25 : x
  2. Step 2: Convert to fraction form
    532.29/734.57 = 296.25/x
  3. Step 3: Cross multiply
    532.29x = 734.57 × 296.25
  4. Step 4: Simplify right side
    532.29x = 217,616.36
  5. Step 5: Solve for x
    x = 217,616.36/532.29
  6. Step 6: Final answer
    x = 408.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.